1001110100001 has 16 divisors (see below), whose sum is σ = 1519471457280. Its totient is φ = 580353680720.

The previous prime is 1001110099991. The next prime is 1001110100009. The reversal of 1001110100001 is 1000010111001.

1001110100001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001110100001 - 2¹³ = 1001110091809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001110100009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659492061 + ... + 659493578.

It is an arithmetic number, because the mean of its divisors is an integer number (94966966080).

Almost surely, 2^{1001110100001} is an apocalyptic number.

1001110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001110100001 is a deficient number, since it is larger than the sum of its proper divisors (518361357279).

1001110100001 is a wasteful number, since it uses less digits than its factorization.

1001110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318985676.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001110100001 its reverse (1000010111001), we get a palindrome (2001120211002).

The spelling of 1001110100001 in words is "one trillion, one billion, one hundred ten million, one hundred thousand, one".